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Finding the Fourth Proportional to 98,342, 147,660.24 and 56,269.52

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Solution

The fourth proportional to 98,342, 147,660.24 and 56,269.52 is: 84,488.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,342 : 147,660.24 = 56,269.52 : x
  2. Step 2: Convert to fraction form
    98,342/147,660.24 = 56,269.52/x
  3. Step 3: Cross multiply
    98,342x = 147,660.24 × 56,269.52
  4. Step 4: Simplify right side
    98,342x = 8,308,770,827.88
  5. Step 5: Solve for x
    x = 8,308,770,827.88/98,342
  6. Step 6: Final answer
    x = 84,488.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.